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Finding the Third Proportional to 34,930 and 75,398

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Solution

The third proportional to 34,930 and 75,398 is: 162,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,930 : 75,398 = 75,398 : x
  2. Step 2: Convert to fraction form
    34,930/75,398 = 75,398/x
  3. Step 3: Cross multiply
    34,930x = 75,398 × 75,398
  4. Step 4: Simplify right side
    34,930x = 5,684,858,404
  5. Step 5: Solve for x
    x = 5,684,858,404/34,930
  6. Step 6: Final answer
    x = 162,750.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.